Least Common Multiple of 6439 and 6442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6439 and 6442 the smallest integer that is 41480038 that is divisible by both numbers.

Least Common Multiple (LCM) of 6439 and 6442 is 41480038.

LCM(6439,6442) = 41480038

LCM of 6439 and 6442

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6439 and 6442

LCM of 6439 and 6442 is 41480038

Least common multiple can be found by multiplying the highest exponent prime factors of 6439 and 6442. First we will calculate the prime factors of 6439 and 6442.

Prime Factorization of 6439


47 6439
137 137
1

Prime factors of 6439 are 47,137. Prime factorization of 6439 in exponential form is:

6439 = 471×1371

Prime Factorization of 6442


2 6442
3221 3221
1

Prime factors of 6442 are 2,3221. Prime factorization of 6442 in exponential form is:

6442 = 21×32211

Now multiplying the highest exponent prime factors to calculate the LCM of 6439 and 6442.

LCM(6439,6442) = 21×471×1371×32211
LCM(6439,6442) = 41480038

Factors of 6439

List of positive integer factors of 6439 that divides 6439 without a remainder.

1, 47, 137, 6439

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1, 2, 3221, 6442

Least Common Multiple of 6439 and 6442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6439 and 6442, than apply into the LCM equation.

GCF(6439,6442) = 1
LCM(6439,6442) = ( 6439 × 6442) / 1
LCM(6439,6442) = 41480038 / 1
LCM(6439,6442) = 41480038

Properties of LCM 6439 and 6442

(i) The LCM of 6442 and 6439 is associative

LCM of 6439 and 6442 = LCM of 6442 and 6439

Related Least Common Multiples of 6439

Related Least Common Multiples of 6442

Frequently Asked Questions on LCM of 6439 and 6442

1. What is the LCM of 6439 and 6442?

Answer: LCM of 6439 and 6442 is 41480038.

2. What are the Factors of 6439?

Answer: Factors of 6439 are 1, 47, 137, 6439. There are 4 integers that are factors of 6439. The greatest factor of 6439 is 6439.

3. What are the Factors of 6442?

Answer: Factors of 6442 are 1, 2, 3221, 6442. There are 4 integers that are factors of 6442. The greatest factor of 6442 is 6442.

4. How to Find the LCM of 6439 and 6442?

Answer:

Least Common Multiple of 6439 and 6442 = 41480038

Step 1: Find the prime factorization of 6439

6439 = 47 x 137

Step 2: Find the prime factorization of 6442

6442 = 2 x 3221

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 41480038 = 2 x 47 x 137 x 3221

Step 4: Therefore, the least common multiple of 6439 and 6442 is 41480038.